Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals

Authors:
Bingmei Liu;Junling Li;Lishan Liu
Affiliations:
College of Sciences, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China;College of Sciences, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China;School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

This paper investigates an m-point boundary value problem with nonlinear boundary conditions at resonance on infinite intervals. By establishing a general continuation theorem, the existence and uniqueness of unbounded solutions is obtained on the basis of a suitable homotopy, Leray-Schauder degree properties and a priori estimate. This paper provides a new method to solve boundary value problems with nonlinear boundary conditions at resonance on infinite intervals.